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Perfectly inelastic collision: common velocity or heat produced

This type of question, asked 3 times: 28 Jun 2022, 10 Apr 2023, 23 Jan 2026 S1. All 3 questions below, oldest first.

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  1. Question 1

    28 Jun 2022

    26
    A man of 60 kg60\text{ }kg is running on the road and suddenly jumps into a stationary trolley car of mass 120 kg120\text{ }kg. Then the trolley car starts moving with velocity 2 ms−12{\text{ }ms}^{- 1}. The velocity of the running man was ____\_\_\_\_ ms−1ms^{- 1} when he jumps into the car.

  2. Question 2

    10 Apr 2023

    7
    A particle of mass mm moving with velocity vv collides with a stationary particle of mass 2 m2\text{ }m. After collision, they stick together and continue to move together with velocity

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  3. Question 3

    23 Jan 2026 S1

    18
    In a perfectly inelastic collision, two spheres made of the same material with masses 15 kg and 25 kg , moving in opposite directions with speeds of 10 m/s10\text{ }m/s and 30 m/s30\text{ }m/s, respectively, strike each other and stick together. The rise in temperature (in  ∘C\ ^{\circ}C), if all the heat produced during the collision is retained by these spheres, is : (specific heat of sphere material 31cal/kg. ∘C31cal/kg.\ ^{\circ}C and 1cal=4.2 J1cal = 4.2\text{ }J)

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